High Energy Particle Physics

Superluminal Effect with Oscillating Neutrinos

A simple quantum relativistic model of muon-tau neutrino oscillations in the OPERA experiment is presented. This model suggests that the two components in the neutrino beam are separated in space. Being created in a meson decay, the muon neutrino emerges 18 meters ahead of the beam's center of energy, while the tau neutrino is behind. Both neutrinos have subluminal speeds, however the advanced start of the muon neutrino explains why it arrives in the detector 60 ns earlier than expected. Our model does violate the special-relativistic ban on superluminal signals. However, usual arguments about violation of causality in moving reference frames are not applicable here. The invalidity of standard special-relativistic arguments is related to the inevitable interaction-dependence of the boost operator, which implies that boost-transformed space-time coordinates of events with interacting particles do not obey linear and universal Lorentz formulas.

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